activity
20092026
most citedSome inverse problems in periodic homogenization of Hamilton-Jacobi equations

13 citations · 96 across the 33 of their papers we have counts for

collaborators

34 papers

math.AP2026

Pathological viscosity solutions of Hamilton--Jacobi equations

Hung V. Tran, Yifeng Yu

We construct a continuous function on the closed unit ball in and a smooth autonomous Hamiltonian for which solves in the…

math.AP2026

Variational Approximation of the Aubry Set

Hung V. Tran, Yifeng Yu

Let be a periodic Tonelli Hamiltonian with critical value . For each , let be the normalized minimizer of the…

math.AP2026

Optimal convergence rates in periodic homogenization of nonconvex Hamilton--Jacobi equations

Jiwoong Jang, Qi Sun, Hung V. Tran +1

We study the convergence rates in periodic homogenization of general nonconvex, coercive Hamilton--Jacobi equations. We show that the optimal convergence rate is $O(\varepsilon^{1/…

math.AP2026

Turbulent Flame Speed Can Increase under Curvature Smoothing

Hung V. Tran, Jack Xin, Yifeng Yu

Curvature effects are expected to smooth flame-front wrinkles and thereby reduce turbulent flame speed. We construct a smooth three-dimensional periodic shear flow for which introd…

math.AP2026

Sharp global and almost everywhere convergence rates for periodic homogenization of viscous quadratic Hamilton-Jacobi equations

Ziran Liu, Hung V. Tran, Yifeng Yu

We study the periodic homogenization of the viscous Hamilton--Jacobi equation \[ u_t^\varepsilon + \frac{1}{2}|Du^\varepsilon|^2 + V\!\left(\frac{x}{\varepsilon}\right) = \frac{\va…

math.AP2026

Geometry of the Minimal Level Set of the Effective Hamiltonian in Two Dimensions

Yifeng Yu

In this paper, we characterize the geometric structure of the boundary of the minimal level set of the effective Hamiltonian associated with the mechanical Ham…